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Finding the Fourth Proportional to 1,077.44, 1,486.26 and 705.02

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Solution

The fourth proportional to 1,077.44, 1,486.26 and 705.02 is: 972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.44 : 1,486.26 = 705.02 : x
  2. Step 2: Convert to fraction form
    1,077.44/1,486.26 = 705.02/x
  3. Step 3: Cross multiply
    1,077.44x = 1,486.26 × 705.02
  4. Step 4: Simplify right side
    1,077.44x = 1,047,835.59
  5. Step 5: Solve for x
    x = 1,047,835.59/1,077.44
  6. Step 6: Final answer
    x = 972.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.